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Finding the Fourth Proportional to 8,375.50, 11,558.22 and 4,649.50

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Solution

The fourth proportional to 8,375.50, 11,558.22 and 4,649.50 is: 6,416.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,375.50 : 11,558.22 = 4,649.50 : x
  2. Step 2: Convert to fraction form
    8,375.50/11,558.22 = 4,649.50/x
  3. Step 3: Cross multiply
    8,375.50x = 11,558.22 × 4,649.50
  4. Step 4: Simplify right side
    8,375.50x = 53,739,943.89
  5. Step 5: Solve for x
    x = 53,739,943.89/8,375.50
  6. Step 6: Final answer
    x = 6,416.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.